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LCM of 523, 404, 806, 583

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 523, 404, 806, 583 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 523, 404, 806, 583. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,404,806,583

Given numbers are 523,404,806,583

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 523,404,806,583 is 49642844108.

Find LCM of 523,404,806,583 with Prime Factorization


2 523, 404, 806, 583
523, 202, 403, 583

Multiply the prime numbers at the bottom and the left side.

2 x 523 x 202 x 403 x 583 = 49642844108

Therefore, the lowest common multiple of 523,404,806,583 is 49642844108.

LCM Formula to Find Lowest Common Multiple of 523,404,806,583

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

523 x 404 x 806 x 583 = 99285688216

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

523 : 1, 523

404 : 1, 2, 4, 101, 202, 404

806 : 1, 2, 13, 26, 31, 62, 403, 806

583 : 1, 11, 53, 583

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,404,806,583, is 1.

Now, the common factors can be found like this.

523:523

404:2x 2x 101

806:2x 13x 31

583:11x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 99285688216/(1x2)

LCM = 99285688216/2

LCM = 49642844108

Thus, we can understand that the LCM of 523,404,806,583 is 49642844108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 404, 806, 583

1. What is the LCM of 523, 404, 806, 583?

Answer: LCM of 523, 404, 806, 583 is 49642844108.

2. How to calculate the LCM of 523, 404, 806, 583?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 523, 404, 806, 583.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.